Start by clarifying requirements and defining the iterator interface, then design the core range iterator with overflow-safe termination and support for negative steps. Implement lazy combinators using O(1) space and a PeekableIterator, and discuss reset/rewind feasibility and invalidation rules. Conclude with edge-case tests and trade-offs.
Pro tip: Emphasize overflow safety by using saturating arithmetic or checked operations, and explain how lazy evaluation avoids materialization, which is crucial for large ranges. Also, proactively discuss iterator invalidation semantics to show depth.
Ask clarifying questions about inclusivity, step sign, overflow behavior, and mutation semantics. Define the Iterator interface with hasNext() and next(), and the PeekableIterator with peek().
Implement range(start, end, step) with forward/backward traversal, inclusive/exclusive endpoints, and negative steps. Use overflow-safe termination by checking if the next value would exceed the end in the direction of the step.
Create map, filter, zip, take, drop, and chain as lazy iterators that wrap the source and compute values on demand, ensuring O(1) space by not storing intermediate sequences.
Implement PeekableIterator with a one-element buffer. Discuss that reset/rewind is feasible only if the underlying iterator is re-iterable or if the sequence is materialized; otherwise, it's not possible without extra space.
Specify that iterators are invalidated if the underlying collection is structurally modified (e.g., add/remove) during iteration, similar to Java's ConcurrentModificationException. Write unit tests for zero step, empty ranges, large ranges, negative steps, and mutation scenarios.
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